Solve 173/4-6.25+81/2-0.75-22

$$17 \frac { 3 } { 4 } - 6.25 + 8 \frac { 1 } { 2 } - 0.75 - 22$$

Evaluate

$$-2.75$$

Solution Steps

Multiply 17 and 4 to get 68.

$$\frac{68+3}{4}-6.25+\frac{8\times 2+1}{2}-0.75-22$$

Add 68 and 3 to get 71.

$$\frac{71}{4}-6.25+\frac{8\times 2+1}{2}-0.75-22$$

Convert decimal number 6.25 to fraction \frac{625}{100}. Reduce the fraction \frac{625}{100} to lowest terms by extracting and canceling out 25.

$$\frac{71}{4}-\frac{25}{4}+\frac{8\times 2+1}{2}-0.75-22$$

Since \frac{71}{4} and \frac{25}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{71-25}{4}+\frac{8\times 2+1}{2}-0.75-22$$

Subtract 25 from 71 to get 46.

$$\frac{46}{4}+\frac{8\times 2+1}{2}-0.75-22$$

Reduce the fraction \frac{46}{4} to lowest terms by extracting and canceling out 2.

$$\frac{23}{2}+\frac{8\times 2+1}{2}-0.75-22$$

Multiply 8 and 2 to get 16.

$$\frac{23}{2}+\frac{16+1}{2}-0.75-22$$

Add 16 and 1 to get 17.

$$\frac{23}{2}+\frac{17}{2}-0.75-22$$

Since \frac{23}{2} and \frac{17}{2} have the same denominator, add them by adding their numerators.

$$\frac{23+17}{2}-0.75-22$$

Add 23 and 17 to get 40.

$$\frac{40}{2}-0.75-22$$

Divide 40 by 2 to get 20.

$$20-0.75-22$$

Subtract 0.75 from 20 to get 19.25.

$$19.25-22$$

Subtract 22 from 19.25 to get -2.75.

$$-2.75$$

Factor

$$-2.75$$